graph the equation $y = -\\frac{3}{4}x + 1$.
graph the equation $y = -\\frac{3}{4}x + 1$.
Answer
Explanation:
Step1: Find the y - intercept
The equation is in slope - intercept form (y = mx + b), where (b) is the y - intercept. For (y=-\frac{3}{4}x + 1), when (x = 0), (y=1). So one point is ((0,1)).
Step2: Use the slope to find another point
The slope (m=-\frac{3}{4}). From the point ((0,1)), using the slope formula (m=\frac{\Delta y}{\Delta x}). If (\Delta x = 4) (run), then (\Delta y=- 3) (rise). So another point is ((0 + 4,1-3)=(4,-2)).
Step3: Plot the points and draw the line
Plot the points ((0,1)) and ((4,-2)) on the coordinate plane. Then draw a straight line passing through these two points.
Answer:
Plot the points ((0,1)) and ((4,-2)) and draw a line through them to graph (y =-\frac{3}{4}x + 1).